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Finding the Third Proportional to 269,302.50 and 409,550.25

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Solution

The third proportional to 269,302.50 and 409,550.25 is: 622,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,302.50 : 409,550.25 = 409,550.25 : x
  2. Step 2: Convert to fraction form
    269,302.50/409,550.25 = 409,550.25/x
  3. Step 3: Cross multiply
    269,302.50x = 409,550.25 × 409,550.25
  4. Step 4: Simplify right side
    269,302.50x = 167,731,407,275.06
  5. Step 5: Solve for x
    x = 167,731,407,275.06/269,302.50
  6. Step 6: Final answer
    x = 622,836.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.